Local solutions of the multidimensional Navier-Stokes equations for
isentropic compressible flow are constructed with spherically
symmetric initial data between a solid core and a free boundary
connected to a surrounding vacuum state. The viscosity coefficients
$\lambda, \mu$ are proportional to $\rho^\theta$,
$0
1$ is the physical constant of polytropic fluid. It is also proved
that no vacuum develops between the solid core and the free
boundary, and the free boundary expands with finite speed.